Step-by-step explanation:
Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180
so <1 +<2 +<3=180
Hope that helps :)
Answer:
is not a function
Step-by-step explanation:
Given
Required
Which is not a function
A function is of the form
Assume a function is:
In simple terms:
For an ordered pair to be regarded as a function, no x value must be repeated
Analyzing the options:
1.
This is a function because none of the x values (-3, 8, 0 and -9) appeared more than once
2.
This is a function because none of the x values (5, -3, 0 and -9) appeared more than once
3.
This is a function because none of the x values (9, -5, 5 and 6) appeared more than once
4.
This is not a function because one of the x values (2) appeared more than once.
i.e.
and
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
B. $38.50
Step-by-step explanation:
The original price of item (before tax) is 100% of the price of the item since 100% means the whole amount.
The tax is 10% of the original price, so add 10% to 100% making it 110%.
The total price including tax is 110% of the original price.
We need to find 110% of $35.00.
<em>To find a percent of a number, multiply the percent by the number.</em>
110% of $35.00 = 110% * $35.00
<em>Change the percent to a decimal by moving the decimal point two places to the left. </em>
110% becomes 1.10 as a decimal
110% of $35.00 = 110% * $35.00 = 1.10 * $35.00 = $38.50
Answer: B. $38.50
Attached is a Venn diagram of your problem.
Knowing how many likes all three will help. You know that 10 students like all three.
Rock and Jazz only:
16 like rock and jazz while 10 like all three. To get how many like jazz only, subtract 10 from 16.
16-10 = 6
Rock and Classical only:
13 like rock and classical while 10 like all three. To get how many like jazz only, subtract 10 from 13.
13-10 = 3
Jazz and classical only:
12 like jazz and classical while 10 like all three. To get how many like jazz only, subtract 10 from 12.
12-10 = 2
Now with that data you fill up the 4 intersecting areas. To get the outer, just remember that all areas within a circle should add up to the first assumption.
27 rock
24 classical
28 Jazz
All numbers in the rock circle should add up to 27.
All numbers in the classical circle should add up to 24.
All numbers in the Jazz circle should add up to 28.
Rock:
3+10+6+x = 27
19+x=27
x = 27-19
x= 8
Classical:
3+10+2+x = 24
15 + x = 24
x = 24-15
x = 9
Jazz:
10+6+2+x = 28
18 + x = 28
x = 28 - 18
x = 10
In summary: 8 liked only Rock, 9 liked only Classical, 10 liked only Jazz.